The majority of my info comes from tidbits I've gotten from talking or emailing with Herm Hoops, that wonderful wiley curmudgeon of the Uintah Basin, as well as pieces gleaned from guiding out there, but I don't think I saved any of it. Or I saved it in such a way that I can't now find it when I search for it, which is pretty much the same thing...
Not to be too obvious, but spring fed side streams are just groundwater that has come to the surface, so definitely at risk. The wellhead maps I remember show a pretty good concentration of wells in the upper reaches of the Rock Creek drainage. I can't remember off-hand further south, but don't think there were all that many / any in the Chandler Creek drainage. There have been a handful of chemical spills from closer to Ouray and along the White resulting in river-wide foam that smelled of volatile organics, but the Vernal & Price BLM offices have systematically limited both ground water and surface water quality testing, so we can't know for sure what is out there.
There are probably some geologists who can correct me here, but my understanding is that the old drilling (~1930's-70's) was oil that had collected under an anticline of Weber sandstone between Rangely and Vernal, very traditional extraction. There was the boom & bust in the 80's that had some primitive fracking, but the technology wasn't well developed at that time. They were still mostly doing traditional drilling for that waxy crude that needs to be trucked into SLC for refining. It was always a gassy field and not far from the Wasatch Front, so the infrastructure was there to collect gas, but not until the boom in the 00's did extensive fracking of gas wells really take off into a large-volume thing.
It's said in medicine, the dose makes the poison. With how much drilling activity there has been out there recently, and assuming that there is a proportional amount of spillage & seepage, I just don't trust the water any more. Sorry I can't link or attach any of the stories I remember though.
Edit: Not exactly relevant to the above, but I did find this link about the shale oil http://utah-oil.com/#none